An eagle-eyed cop was responsible for the arrest of a trench-coated prowler accused of savagely raping a 13-year-old girl he snatched from her Bellevue Hospital room, cops said yesterday.

NYPD Officer George Wolform recognized a description of the suspect in a radio news report and alerted detectives, who rushed to the hospital and arrested the man as he was visiting his wife, also a hospital patient, just hours after Friday’s rape.

Hector Ramirez, 43, a career criminal, was charged with rape.

He had been on parole with 12 prior arrests dating back to 1977, including robbery, burglary and assault, said Deputy Inspector Susan Morley of the Special Victims Bureau.

Police said Ramirez, posing as a concerned hospital aide, lured the 13-year-old girl from her room at Bellevue on Friday morning. “He basically told her, ‘Come with me’ – and she didn’t want to go,” Morley said.

Ramirez led his young victim to a hospital conference room, where he beat and raped her in a conference room.

“[Ramirez] did beat the victim, he did choke her, and she did lose consciousness a few times,” said Morley.

Hours after the attack, Wolform was stuck in traffic when he heard a radio news report of the incident that included Ramirez’s description – 6 feet tall, with an acne-like skin condition, and wearing a belted, three-quarter-length black leather coat.

To Wolform, the description matched the husband of an emotionally disturbed woman he’d taken to Bellevue hours earlier, after she jumped onto the tracks at the Second Avenue subway station on the Lower East Side.

Wolform, a five-year veteran, contacted detectives – who found Ramirez back at Bellevue, at his wife’s side.

Police Commissioner Raymond Kelly said detectives performed “swift, outstanding police work” and congratulated Wolform “for quickly linking the identity of the suspect” to his earlier call.

Bellevue workers and patients told The Post, meanwhile, that the hospital – the country’s oldest – had become a security nightmare.

They said the entrance at First Avenue and 28th Street was a dope dealer’s paradise where security was non-existent and homeless people frequently spent the night.

Yesterday, dealers openly sold heroin and marijuana while panhandlers stood in a nearby atrium area next to a man in a drunken stupor.

“This is a normal day,” said Jesus Rodriguez, 27, a Manhattan tattoo artist who said he attended regular Narcotics Anonymous meetings at the hospital.

Maureen Rogerson, 42, a Department of Corrections investigator visiting the hospital yesterday, said Bellevue was lawless and frightening. “Everyone looks suspicious,” she said.